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Finding the Fourth Proportional to 8,242.98, 11,377.11 and 5,258.16

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Solution

The fourth proportional to 8,242.98, 11,377.11 and 5,258.16 is: 7,257.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242.98 : 11,377.11 = 5,258.16 : x
  2. Step 2: Convert to fraction form
    8,242.98/11,377.11 = 5,258.16/x
  3. Step 3: Cross multiply
    8,242.98x = 11,377.11 × 5,258.16
  4. Step 4: Simplify right side
    8,242.98x = 59,822,664.72
  5. Step 5: Solve for x
    x = 59,822,664.72/8,242.98
  6. Step 6: Final answer
    x = 7,257.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.